#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using mint = modint998244353; } int main() { ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; VI a(n), b(n), c(n), p(n); rep(i, n) cin >> a[i]; rep(i, n) if (i) cin >> b[i], b[i]--; rep(i, n) if (i) cin >> c[i], c[i]--; rep(i, n) if (i) cin >> p[i], p[i]--; ll tot = accumulate(all(a), 0LL); vector>> ch(n); mint ans; mint inv6 = mint(6).inv(); rrep(i, n) { ll rest = tot - a[i]; for (auto [j, cnt] : ch[i]) rest -= cnt; if (i) { ans += mint(tot - rest) * rest; ch[i].emplace_back(b[i], rest); ch[p[i]].emplace_back(c[i], tot - rest); } ch[i].emplace_back(0, 0); ch[i].emplace_back(a[i]-1, 0); ranges::sort(ch[i], {}, &pair::first); mint A; mint T = tot; rep(idx, ssize(ch[i]) - 1) { A += ch[i][idx].second; mint l = ch[i][idx].first, r = ch[i][idx+1].first; ans += inv6 * (l-r) * (6*A*A+6*A*(l+r-T+1)+2*l*l+l*(2*r-3*T+3)+(r+1)*(2*r-3*T+1)); } } ans *= 2; cout << ans.val() << '\n'; }